document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=349637>Question 349637</A>: <I><SPAN STYLE=\"word-break: break-all;\"> solve the multi-angle equation\r<BR>\n" );
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document.write( "cot X/2= sq root of 3/3 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #249900 by </B><A HREF=/tutors/aboutme.mpl?userid=jsmallt9><B>jsmallt9(3758)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jsmallt9><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=249900\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cot%28x%2F2%29+=+sqrt%283%29%2F3 ALIGN=MIDDLE  ALT=\"cot%28x%2F2%29+=+sqrt%283%29%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "If you know your special angles well, then you know that the reference angle for this is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi%2F6 ALIGN=MIDDLE  ALT=\"pi%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" >. And since cot is positive in the first and third quadrants:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2F2+=+pi%2F6+%2B+2%2Api%2An ALIGN=MIDDLE  ALT=\"x%2F2+=+pi%2F6+%2B+2%2Api%2An\"   DISABLED_style= \"max-width:90%; height:auto;\" > (where n i s any integer)<BR>\n" );
document.write( "or<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2F2+=+pi+%2B+pi%2F6+%2B+2%2Api%2An+=+%287%2Api%29%2F6+%2B+2%2Api%2An ALIGN=MIDDLE  ALT=\"x%2F2+=+pi+%2B+pi%2F6+%2B+2%2Api%2An+=+%287%2Api%29%2F6+%2B+2%2Api%2An\"   DISABLED_style= \"max-width:90%; height:auto;\" > (where n i s any integer)<BR>\n" );
document.write( "To solve for x we just multiply each side of each equation by 2:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+pi%2F3+%2B+4%2Api%2An ALIGN=MIDDLE  ALT=\"x+=+pi%2F3+%2B+4%2Api%2An\"   DISABLED_style= \"max-width:90%; height:auto;\" > (where n i s any integer)<BR>\n" );
document.write( "or<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%287%2Api%29%2F3+%2B+4%2Api%2An ALIGN=MIDDLE  ALT=\"x+=+%287%2Api%29%2F3+%2B+4%2Api%2An\"   DISABLED_style= \"max-width:90%; height:auto;\" > (where n i s any integer)<BR>\n" );
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